Chapter 9 Probability Worksheet Page 43
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Study Guide and Review
9-3
The Fundamental Counting Principle
(pp. 471–474)
Example 3 Use the Fundamental
Use the Fundamental Counting Principle
to find the total number of outcomes in
Counting Principle to find the total
each situation.
number of outcomes for a coin that is
tossed four times.
rolling two number cubes
17.
There are 2 possible outcomes, heads
creating an outfit from 6 different shirts
18.
or tails, each time a coin is tossed. For a
and 4 different pants
coin that is tossed four times, there are
2 · 2 · 2 · 2, or 16 outcomes.
TUXEDOS
A tuxedo shop offers a tuxedo
19.
in three colors, black, gray, and white.
The tie can be a bow tie or a regular tie.
Example 4 Find the probability that,
The tuxedo can come with tails or no
in a family of four children, all four
tails. If a tuxedo is selected at random,
children are girls.
what is the probability that it will be
black, with a bow tie, and no tails?
There are 16 outcomes. There is one
possible outcome resulting in four girls.
So, the probability that all four children
_
1
are girls is
.
16
9-4
Permutations
(pp. 475–478)
Example 5 Nathaniel
PORTRAITS
In how many ways can a
20.
Chores
family of five arrange themselves in
needs to choose two of
Walk the Dog
a line for a family portrait?
the chores shown to do
Do Homework
after school. If he is
Clean the Kitchen
LETTERS
How many permutations are
21.
equally likely to choose
Rake the Leaves
there of the letters in the word
the chores, what is the
computer?
probability that he will
walk the dog first and
RUNNING
Jacinda and Raul are entered
22.
rake the leaves second?
in a race with 5 other runners. If each
There are 4 · 3, or 12, arrangements in
runner is equally likely to win, what is
which Nathaniel can complete the chores.
the probability that Jacinda will finish
There is one way in which he will walk
first and Raul will finish second?
the dog first and rake the leaves second.
So, the probability that he will walk
the dog first and rake the leaves second
_
1
is
.
12
500
Chapter 9 Probability
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